The distance between point on the ground from the top of the building is 396 meter, if the building is 280 m high and The angle of depression from the top of a building to a point on the ground is 45 degrees.
Step-by-step explanation:
The given is,
The angle of depression from the top of a building to a point on the ground is 45 degrees.
Height of the building is 280 meter.
Step: 1
Given diagram is a right angled diagram,
For right angle triangle,
90° = 45° + 45°
= 90°
Trignometric ratio,
sin ∅ =
....................(1)
For the above ratio take the bottom angle, that is angle of depression from the top of a building to a point on the ground is 45 degrees.
Where, Opp side = 280 meters
Hyp side = x
∅ = 45°
Equation (1) becomes,
sin 45° = ![\frac{280}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B280%7D%7Bx%7D)
0.70710678 = ![\frac{280}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B280%7D%7Bx%7D)
x = ![\frac{280}{0.70710678}](https://tex.z-dn.net/?f=%5Cfrac%7B280%7D%7B0.70710678%7D)
x = 395.979
Distance between point on the ground from the top of the building, x ≅ 396 meter
Trignometric ratio,
cos ∅ =
Cos 45 =
Adj = (0.70710678)(396)
Bottom length, Adj = 280 meter
Result:
The distance between point on the ground from the top of the building is 396 meter.
C = 150000 + 17n
where,
C = Total Cost per year = Fixed Cost + Variable Cost
n = Number of Widgets produced each year
17n = Variable Cost
150000 = Fixed Cost
Answer:
x= 6- 3y/2 y= 4- 2x/3
Step-by-step explanation:
16, 24, 32, 40, 48, 56, 64, 72, etc.
Answer:
= 1 7/8
Step-by-step explanation: